Find the average of the function over the given interval. f(x) = x3 over [−1, 1]

Answers

Answer 1

9514 1404 393

Answer:

  0

Step-by-step explanation:

f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.

The average value is 0.


Related Questions

p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

-2, -3, 3/2

Step-by-step explanation:

Factor 2x^2+ 3x – 9

(x+3)(2x-3)

(x + 2)(x+3)(2x-3)  - the zeros are basically the opposite of the numbers here

x+2=0

x=-2

x+3=0

x=-3

2x-3=0

x=3/2

To plot just put the numbers on the x line because it is (x,0)

50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.

Answers

9514 1404 393

Answer:

  672 m²

Step-by-step explanation:

There are several ways you can do this.

It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:

  h² = 50² -14² = 2304

  h = √2304 = 48

Then the area is ...

  A = 1/2bh

  A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area

_____

Additional comment

You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.


Persons taking a 30-hour review course to prepare for a standardized excam averago a score of 620 on that exam. Persons taking a 70-hour review course average a score of 809. Find a linear function, S(t), which fits this data, and which
expresses score as a function of time. Use this function to predict an average score for persons taking a 42-hour review course. Do not round until the final answer. Then round to the nearest tenth as needed.

Answers

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.

[tex]\frac{70-30}{809-620} = 4.725[/tex]

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.

3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter

Answers

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT IS A COMPUTER TABLET AND PHONE VIRUS

water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!

Answers

What we'll do:

A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water

Finding the Specific Gravity:

Density of Box:

Density = Mass / Volume

Density = 80 grams / 78 cm³

Density = 1.02 grams/cm³

Specific Gravity of Box with respect to water:

Specific Gravity = Density of Box / Density of Water

we know that density of water is 1 gm/cm³, plugging the values

Specific Gravity = 1.02 / 1

Specific Gravity = 1.02

Hence, 102% of the object will be under water

Q. but I've only heard about 100% of something, how can something be more than 100%?

A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater

Graph the equation.
y-3= -5(x-1)

Answers

Step-by-step explanation:

First you gotta write it in standard form

y - 3 = -5(x-1)

distribute -5(x-1) = -5x + 5

y - 3 = -5x + 5

  +3           +3

y = -5x + 8

I used desmos graphing caculator to graph

please help meeeeeeeewwewe

Answers

Answer: x = 20

Explanation:
X + 3x + 10 = 90
4x+10=90
-10. -10
4x 80
4. 4
X=20
Step by step:
1. Add
2. Opposite operation +/-
3.Divide
4. Get your answer

Jose is going hiking for 5 days. He packed 8 bags of trail mix to eat along the way.
Jose wants to eat all the trail mix without having any left over. He also wants to eat
the same amount every day. Use division to help Jose calculate how much he can
eat every day​

Answers

Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!

Answers

11 is the answer or 12

Answer:

100/70

Step-by-step explanation:

i did 25 times 4 got 100 then did 100/70

Plz hurry.....................

Answers

Answer:

figure of cuboid

volume of cuboid=b×h

Step-by-step explanation:

(10×3×4)in cube=120incube

help me with all these questions please

Answers

usa a caucula ciêntifica

If r = .15, this indicates
strong negative correlation.
strong positive correlation.
weak negative correlation.
weak positive correlation.

Answers

Answer:

Weak Positive Correlation

Step-by-step explanation:

The r value of 0.15 indicates a weak positive correlation value because a weak correlation value is less than 0.3, anything between 0.3 and 0.7 are a moderate correlation, and anything greater than 0.7 would be a string correlation. So, since this is less than 0.3, this is a weak correlation. A positive correlation is a positive value and a negative correlation value is a negative number, so this would be a weak positive correlation value.

A value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables.

As per the question, the value of r is positive (greater than 0), which suggests a positive correlation between the variables.

However, the value of 0.15 is close to 0 and relatively small, indicating a weak correlation.

This means that there is a weak tendency for the variables to increase or decrease together.

Thus, a value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables to increase or decrease together, but the relationship is not strong.

To learn more about the correlation click here:

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Help i'll give you brainlyest

Answers

Answer:

Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there

Find the quotient of 10x4 / 5x2.

Answers

the answer is 16. hope this helped

In circle H with m \angle GHJ= 104m∠GHJ=104 and GH=15GH=15 units, find the length of arc GJ. Round to the nearest hundredth.

Answers

Answer: GJ= 27.23

i dont know how to explain this lol sorry but that answer is right

The length of arc GJ is equivalent to 26π/3 units.

What is Circumferance?

Circumferance is defined as the length of the boundary of any two dimensional shape. Mathematically, we can write circumferance as -

C = ∫F(x) dx

Given is that in circle H with m ∠GHJ = 104 and GH = 15 units.

The length of the arc subtending an angle θ at the center is -

L = θ/360 x 2πr

L = 104/360 x 2π x 15

L = 13/45 x 2π x 15

L = 26π/3 units

Therefore, the length of arc GJ is equivalent to 26π/3 units.

To solve more questions on area and circumferance, visit the link-

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NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.

Answers

9514 1404 393

Answer:

48.0 seconds2833 meters

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

If D = {1,3,5}, E={3,4,5}, F={1,5,10}

Find

a) ∪

b) ∩

c) ( ∩ )

d) ( ∪ ) ∩

e) ( ∩ )

Answers

Step-by-step explanation:

a)U={1,3,4,5}

b)={1,3,5}

You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?

Answers

Answer:

i need 5 points im sorry mate

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

f(x)=
2x
2
−x−15
−4x+12

Answers

Answer:

f(x) = -x -3

Step-by-step explanation:

6 more than the quotient
of a number and 5

Answers

Answer is: 6+x/5
Good luck

HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.

Answers

=-8x^2+16xy-6y^2
work shown in photo below
hope this helps.

Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.

Answers

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.

Answers

Answer:

1/12

Step-by-step explanation:

Simpliy divide 1/4 by 3

(1/4)/3=1/12

What is the amount of simple interest saved on a savings deposit of $1,500 for 18 months at an interest rate of 6%?

Answers

Answer:

$135

Step-by-step explanation:

Given data

Principal= $1,500

Time= 18 months = 1.5 years

Rate= 6%

The formula for simple interest is given as

SI= PRT/100

Substiute

SI= 1500*6*1.5/100

SI= 13500/100

SI= $135

Hence the simple interest after 18months(1.5 years) is $135

Helpppsppspspspspsp plssss

Answers

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

Find the least common multiple (LCM) for the pair of
numbers 6 and 18.

Answers

Answer:

LCM = 24

Step-by-step explanation:

PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195

Answers

Answer:

40 because every hour he charges 40 dollas so its 40x+75=y

Step-by-step explanation:

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

We have given that,

An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.

We have to determine,

When this linear relationship is graphed, which value represents the slope.

What is the slope?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

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due today! The price of an ice cream cone is $2.75. You buy one for yourself and another for your little brother. How much sales tax will you pay? The sales tax rate is 7.5% How much sales tax will you pay?

Answers

Answer:

$0.41

Step-by-step explanation:

1 ice cream cone: $2.75

2 ice cream cones: 2 * $2.75 = $5.50

7.5% of $5.50 =

= 0.075 * $5.50

= $0.4125

Answer: $0.41

Is the following number, rational, irrational, or nonreal?​

Answers

Answer:

Rational

√36

=6

plz mark me as brainliest

Answer:  Rational

Step-by-step explanation:  

= /36

= 6

 

Can you give me a thank you?

PLS HELP IM CONFUSED

Answers

Answer:

D

Step-by-step explanation:

6 and 3 can both be divided by 3, which gives u 2/1

Answer:

D. 2 cups of flour/1 cup of milk.

Step-by-step explanation:

Here's the definition of unit rate:

unit rate

the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.

Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.

(6/3)/(3/3)

2/1

The unit rate between cups of flour to cups of milk is 2:1, which is D.

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